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Degrees To Radians Calculator

Free online tool that helps you convert an angle given in degrees to its equivalent value in radians.

Radians
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Degrees and radians

Degrees and radians are both units of measurement used to express angles in mathematics.

Degrees are the most common unit of measurement for angles, and are based on dividing a circle into 360 equal parts. Each part is called a degree, and the symbol for degrees is "°". For example, a right angle measures 90 degrees (90°), and a full circle measures 360 degrees (360°).

Radians are an alternative unit of measurement for angles, and are based on the length of the arc of a circle. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. The symbol for radians is "rad". For example, a right angle measures π/2 radians (or 1.57 radians), and a full circle measures 2π radians (or approximately 6.28 radians).

Radians are often preferred in mathematics because they simplify many formulas, particularly those involving trigonometric functions such as sine, cosine, and tangent. In addition, radians are a dimensionless unit, which means that they can be used to compare angles of different sizes without the need for a conversion factor.